Adaptive finite elements based on Carrera unified formulation for meshes with arbitrary polygons

M. Cinefra
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Abstract

Abstract. The new Adaptive Finite Elements presented are based on Carrera Unified Formulation (CUF) that permits to implement 1D and 2D elements with 3D capabilities. In particular, by exploiting the node-dependent kinematic approach recently introduced and incorporating the FEM shape functions with the CUF kinematic assumptions in unique 3D approximating functions, it is demonstrated that new mesh capabilities can be obtained with the use of presented elements by easy implementation. A classical patch test is performed to investigate the mesh distortion sensitivity.
基于Carrera统一公式的任意多边形网格自适应有限元
摘要新的自适应有限元基于Carrera统一公式(CUF),允许实现具有3D功能的1D和2D元素。特别是,通过利用最近引入的节点相关运动学方法,并将FEM形状函数与CUF运动学假设结合在独特的三维逼近函数中,证明了使用所提供的元素可以轻松实现新的网格功能。采用经典的贴片测试方法对网格畸变敏感性进行了研究。
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